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Finding the Fourth Proportional to 110,161.83, 165,242.41 and 31,276.11

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Solution

The fourth proportional to 110,161.83, 165,242.41 and 31,276.11 is: 46,914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,161.83 : 165,242.41 = 31,276.11 : x
  2. Step 2: Convert to fraction form
    110,161.83/165,242.41 = 31,276.11/x
  3. Step 3: Cross multiply
    110,161.83x = 165,242.41 × 31,276.11
  4. Step 4: Simplify right side
    110,161.83x = 5,168,139,713.63
  5. Step 5: Solve for x
    x = 5,168,139,713.63/110,161.83
  6. Step 6: Final answer
    x = 46,914.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.